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ZIMSEC A-Level Pure Mathematics

6.3.3Series: standard results, method of differences, Maclaurin and Taylor series

Series: standard results, method of differences, Maclaurin and Taylor series in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
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Overview

Form 6.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.3.3.1Form 6: use the standard results for Σr, Σr² and Σr³ to find related sums.
  2. 6.3.3.2Form 6: use the method of differences to obtain the sum of a finite series.
  3. 6.3.3.3Form 6: use Taylor's and Maclaurin's series for approximation and solve problems involving them.

Lessons

  • Maclaurin and Taylor series

    50 min

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  • Standard sums and the method of differences

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Series: standard results, method of differences, Maclaurin and Taylor series: sample question

1 mark

What are the first two non-zero terms of the Maclaurin series of sin⁡x\sin x?

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